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Algebra review whole yr

Total questions: 50

Worksheet time: 4hrs 36mins

Name
Class
Date
1.
a)
(2, -2)
b)
(2, 2)
c)
(-2, 2)
d)
(-2, -2)
2.
a)
Infinitely Many Solutions
b)
No Solution
3.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
4.
When does a system of equations have no solutions?
a)
When the lines cross
b)
When slopes of the lines are different
c)
When the slopes are the same
d)
There is ALWAYS a solution sir!
5.
Parallel lines have ____ solution(s).
a)
No
b)
One
c)
Many
6.
Intersecting lines have _____ solution(s).
a)
No
b)
One
c)
many
7.
Two equations that produce the same line have _____ solution(s).
a)
no
b)
one
c)
infinitely many
8.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
9.
7(2x - 4) = 42
a)
x= 5
b)
x= 8
c)
x= 2
d)
x= 9
10.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = x + 2
b)
y = 2x - 1
c)
y = -x + 2
d)
y = -2x - 1
11.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = 1/3x - 1
b)
y = 1/4x -1
c)
y = -1/3x +1
d)
y = -1/4x + 1 
12.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
x = 4
b)
y = 4 
13.
What is the correct equation?
a)
x = 5
b)
y = 5
c)
x = - 5
d)
y = -5 
14.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
15.
What is the y-intercept?
a)
1/2
b)
2
c)
7
d)
3
16.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
17.
a)
Function
b)
Not a Function
18.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
19.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
20.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
21.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
22.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
23.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
24.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
25.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
26.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
27.
Which answer choice describes  y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum 
28.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
29.
What is the maximum/minimum of a parabola called?
a)
vertex
b)
point
c)
top
d)
bottom
30.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
31.
Given the equation above, find h(-3).
a)
-13
b)
5
c)
-23
d)
23
32.
What is the definition of a whole number?
a)
a positive number (including zero) but not including decimals or fractions
b)
a whole number and a fraction less than one
c)
positive and negative whole numbers and zero but doesn't inlude decimals or fractions
d)
one or more digits to the right of a decimal
33.
What is the definition of an integer?
a)
positive and negative whole numbers and zero but doesn't include decimals or fractions
b)
numbers on the right of zero
c)
numbers that are equal distance from zero
d)
one or more digits to the right of a decimal
34.
-3.5 is an integer
a)
True
b)
False
35.
6 is a rational number
a)
True
b)
False
36.
-9 is an integer
a)
True
b)
False
37.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
38.

What is the factored form of x2+16x+15

a)

(x+1)(x+15)

b)

(x+3)(x+5)

c)

(x-3)(x-5)

d)

(x-1)(x+15)

39.
What is the factored form of x2-10x+24
a)
(x-4)(x-6)
b)
(x-12)(x+2)
c)
(x-8)(x-3)
d)
(x+24)(x-1)
40.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

41.

What type of pattern do exponential functions have?

a)

Adds by the same number every time

b)

Multiplies by the same number every time

c)

Square roots all the inputs

d)

Squares all the inputs

42.

In an exponential function, what does the 'a' represent?

a)

Slope

b)

Rate of change

c)

Y-intercept

d)

Multiplier

43.

Is the table linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

44.

Is this table a function and how can you tell?

a)

Yes its a function because there are not variables for missing numbers

b)

No it's not a function because the y value 4 repeated

c)

No it isn't a function because the x value 2 is repeated

d)

No it's not a function because the x value 5 has 2 outputs.

45.
What is the Domain?
a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

46.
What is the y-intercept of the graph of 3x+4y=24
a)
-6
b)
6
c)
15
d)
-15
47.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
48.

What is the slope of a line that is perpendicular to the line show?

a)

m=32m_{\perp}=\frac{3}{2}

b)

m=23m_{\perp}=\frac{2}{3}

c)

m=23m_{\perp}=-\frac{2}{3}

d)

m=32m_{\perp}=-\frac{3}{2}

49.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
50.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither